Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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            <s xml:id="echoid-s10037" xml:space="preserve">
              <pb o="278" file="0378" n="413" rhead="PHYSICES ELEMENTA"/>
            tur, multiplicando pro ſingulis corporibus fluidi denſitatem
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            per quadratum velocitatis corporis, & </s>
            <s xml:id="echoid-s10038" xml:space="preserve">dividendo pro-
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            ductum hoc per diametrum ductam in denſitatem corporis,
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            diviſionumque quotientes exprimunt retardationum rela-
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            tiones.</s>
            <s xml:id="echoid-s10039" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10040" xml:space="preserve">Hæ etiam deteguntur ſi pro ſingulis corporibus pondus,
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              <note position="left" xlink:label="note-0378-01" xlink:href="note-0378-01a" xml:space="preserve">960.</note>
            quod valet reſiſtentiam , dividatur per corporis pondus;</s>
            <s xml:id="echoid-s10041" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0378-02" xlink:href="note-0378-02a" xml:space="preserve">928.</note>
            quotientes enim ſunt ut retardationes .</s>
            <s xml:id="echoid-s10042" xml:space="preserve"/>
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          <note symbol="*" position="left" xml:space="preserve">956 957.
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          121.</note>
          <p>
            <s xml:id="echoid-s10043" xml:space="preserve">Dum corpus in fluido retardatur, ſingulis momentis, cum
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            mutata velocitate, mutatur retardatio, unde varia circa mo-
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            tum corporis, in fluido continuatum, deducuntur, quorum
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            quædam in ſcholiis, huic capiti ſubjunctis, demonſtramus;
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            </s>
            <s xml:id="echoid-s10044" xml:space="preserve">horum pauca hîc indicabo.</s>
            <s xml:id="echoid-s10045" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10046" xml:space="preserve">Sepoſitâ, ut in ultimis propoſitionibus, reſiſtentiâ ex
              <lb/>
              <note position="left" xlink:label="note-0378-04" xlink:href="note-0378-04a" xml:space="preserve">961.</note>
            partium cobæſione, moveatur corpus per ſluidum, percur-
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            ret boc ſpatia æqualia, temporibus inæqualibus, quæ erunt
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            in progreſſione geometrica; </s>
            <s xml:id="echoid-s10047" xml:space="preserve">in qua eadem progreſſione, ſed
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            inverſâ, ſunt velocitates in initiis borum momento-
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            rum.</s>
            <s xml:id="echoid-s10048" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10049" xml:space="preserve">Si globus aut cylindrus rectus, juxta axeos directionem
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              <note position="left" xlink:label="note-0378-05" xlink:href="note-0378-05a" xml:space="preserve">962.</note>
            moveantur per fluidum, cylindri longitudo, & </s>
            <s xml:id="echoid-s10050" xml:space="preserve">globi diame-
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            ter, ſe babebunt ad ſpatia, quibus percurrendo corpora hæc
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            reſpectivè dimidium velocitatis amittunt, in ratione compo-
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            ſita denſitatis fluidi ad denſitatem corporis, & </s>
            <s xml:id="echoid-s10051" xml:space="preserve">numeri 10000.
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            </s>
            <s xml:id="echoid-s10052" xml:space="preserve">ad 13863.</s>
            <s xml:id="echoid-s10053" xml:space="preserve"/>
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            <s xml:id="echoid-s10054" xml:space="preserve">Corporis autem, quod in fluido movetur, retardatio ab
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              <note position="left" xlink:label="note-0378-06" xlink:href="note-0378-06a" xml:space="preserve">963.</note>
            utraque cauſa reſiſtentiæ pendet, & </s>
            <s xml:id="echoid-s10055" xml:space="preserve">eſt pro parte æquabi-
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            lis , pro parte ut quadratum velocitatis .</s>
            <s xml:id="echoid-s10056" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">950.</note>
          <note symbol="*" position="left" xml:space="preserve">954.</note>
          <p>
            <s xml:id="echoid-s10057" xml:space="preserve">Quod etiam ad corpora adſcendentia & </s>
            <s xml:id="echoid-s10058" xml:space="preserve">deſcendentia ap-
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            plicari poteſt.</s>
            <s xml:id="echoid-s10059" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10060" xml:space="preserve">Corpus fluido ſpecificè gravius, quod adſcendit, aut fluido
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              <note position="left" xlink:label="note-0378-09" xlink:href="note-0378-09a" xml:space="preserve">964.</note>
            ſpecificè levius quod deſcendit, præter retardationem ex in-
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            ertia fluidi oriundam , aliam æquabilem patitur, non modo
              <note symbol="*" position="left" xlink:label="note-0378-10" xlink:href="note-0378-10a" xml:space="preserve">954.</note>
            cohæſione , ſed eſt præterea, in primo caſu, ex
              <note symbol="*" position="left" xlink:label="note-0378-11" xlink:href="note-0378-11a" xml:space="preserve">951</note>
            reſpectiva , in ſecundo, ex vi qua in fluido ſurſum
              <note symbol="*" position="left" xlink:label="note-0378-12" xlink:href="note-0378-12a" xml:space="preserve">251.</note>
            tur .</s>
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          </p>
          <note symbol="*" position="left" xml:space="preserve">749.</note>
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